one recursive approach for 3, hdu 1016 (with an improved version) , permutations, N-Queens puzzle 分类： hdoj 2015-07-19 16:49 86人阅读 评论(0) 收藏

one recursive approach to solve hdu 1016, list all permutations, solve N-Queens puzzle.
reference: the video of stanford cs106b lecture 10 by Julie Zelenski https://www.youtube.com/watch?v=NdF1QDTRkck

// hdu 1016, 795MS

#include <cstdio>
#include <cstring>
#include <string>
#include <algorithm>

const int MAXN=20;

bool isPrime(int k) {
    static std::string prime={3,5,7,11,13,17,19,23,29,31,37};
    return prime.find(k)!=std::string::npos;
}

void printResult(std::string str) {
    static char strbuf[2*MAXN+5], *p;
    p=strbuf;
    for(auto v:str) { p+=sprintf(p,"%d ",(int)v); }
    *--p=0;
    puts(strbuf);
}

void recSolvePrimeRing(std::string soFar, std::string rest) {
    if(rest.size()==1) {
        if(isPrime(rest[0]+soFar.back()) && isPrime(rest[0]+soFar.front()))
        printResult(soFar+rest);
        return;
    }
    for(int i=0;i<rest.size();++i) {
        int x=rest[i]+soFar.back();
        if(isPrime(rest[i]+soFar.back())) {
            recSolvePrimeRing(soFar+rest[i],rest.substr(0,i)+rest.substr(i+1));
        }
    }
}

void solvePrimeRing(int n) {
    static std::string rest{'002'};
    if(rest.back()<=n)
    for(int i=rest.back()+1;i<=n;++i) rest.push_back(i);
    else rest.resize(n-1);
    recSolvePrimeRing("01",rest);
}

int main() {
#ifndef ONLINE_JUDGE
    freopen("in.txt","r",stdin);
#endif
    int n,k=0;
    while(scanf("%d",&n)==1) {
        if(n>0 && n<=MAXN && (n&1)==0) {
            printf("Case %d:
",++k);
            solvePrimeRing(n);
            putchar('
');
        }
    }

    return 0;
}

// improved version for hdu 1016, 483MS,
// encapsulated to a Solution class, function isprime more speedy,

#include <cstdio>
#include <cstring>
#include <string>
#include <algorithm>

class SolutionPrimeRing {
    static const std::string primetable;
    static std::string prime;
    static inline bool isPrime(int k) {
        return (k&1) && prime.find(k)!=std::string::npos;
    }

    static void printResult(const std::string &str) {
        static char strbuf[2*MAXN+5], *p;
        p=strbuf;
        for(auto v:str) { p+=sprintf(p,"%d ",(int)v); }
        *--p=0;
        puts(strbuf);
    }

    static void recSolvePrimeRing(std::string soFar, std::string rest) {
        static int tmp;
        if(rest.size()==1) {
            if(isPrime(rest[0]+soFar.back()) && isPrime(rest[0]+soFar.front()))
            printResult(soFar+=rest);
            return;
        }
        for(int i=0;i<rest.size();++i) {
            if(isPrime(rest[i]+soFar.back())) {
                recSolvePrimeRing(soFar+rest[i],rest.substr(0,i)+rest.substr(i+1));
            }
        }
    }

public:
    static const int MAXN=20;

    static void solve(int n) {
        if(n>MAXN || n<2 || (n&1)) { return; }
        static std::string rest{'02'};
        if(rest.back()<=n)
        for(int i=rest.back()+1;i<=n;++i) rest.push_back(i);
        else rest.resize(n-1);

        prime.clear();
        n<<=1;
        for(int i=0;primetable[i]<n;++i) {
            prime.push_back(primetable[i]);
        }
        recSolvePrimeRing("01",rest);
    }
};
const std::string SolutionPrimeRing::primetable={3,5,7,11,13,17,19,23,29,31,37,41};
std::string SolutionPrimeRing::prime;

int main() {
#ifndef ONLINE_JUDGE
    freopen("in.txt","r",stdin);
#endif
    int n,k=0;
    while(scanf("%d",&n)==1) {
            printf("Case %d:
",++k);
            SolutionPrimeRing::solve(n);
            putchar('
');
    }
    return 0;
}

// Permutation, from the video of stanford cs106b lecture 10 by Julie Zelenski

void RecPermute(string soFar, string rest) {
    if(rest=="") {
        cout << soFar << endl;
    }
    else {
        for(int i=rest.length()-1;i>=0;--i) {
            string next=soFar+rest[i];
            string remaining=rest.substr(0,i)+rest.substr(i+1);
            RecPermute(next,remaining);
        }
    }
}
void ListPermutations(string s) {
    RecPermute("",s);
}

// 8-Queens, 可以推广到N-queens, limitation, N<=255,(howevev 255 is an astronomical number for N-Queens)
// http://blog.csdn.net/qeatzy/article/details/46811451 contains my C++ code of leetcode N-Queens/N-Queens II in this approach

void printQueenBoard(string str) {
static char line[10]="........";
putchar('[');
for(int i=0, tmp;i<8;++i) {
    tmp=str[i]-'0';
    line[tmp]='Q';
    printf(""%s"",line);
    line[tmp]='.';
    if(i==7) putchar("],
");
    else puts(",");
}

void RecSolveQueen(string soFar, string rest) {
    if(rest=="") {
        printQueenBoard(soFar);
    }
    else {
        int flag,len;
        for(int i=0;i<rest.length();++i) {
            flag=1;
            len=soFar.length();
            for(int j=0;j<len;++j) {
                if(rest[i]-soFar[j]==len+i-j || rest[i]-soFar[j]==j-i-len) {
                    flag==0; break;
                }
            }
            if(flag) {
                RecSolveQueen(soFar+rest[i],rest.substr(0,i)+rest.substr(i+1));
            }
        }
    }
}

void eightQueen() {
    string s="01234567";
        // or string s{'01','02',...};
    RecSolveQueen("",s);
}

版权声明：本文为博主原创文章，未经博主允许不得转载。// p.s. If in any way improment can be achieved, better performance or whatever, it will be well-appreciated to let me know, thanks in advance.